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GILBERT STRANG: Hi.
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I'm Gilbert Strang.
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I'm a math professor at MIT.
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CLEVE MOLER: And
I'm Cleve Moler.
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I'm one of the
founders of MathWorks,
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and I'm chief mathematician.
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Gil and I have
made a video series
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about ordinary
differential equations.
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GILBERT STRANG: This
developed really
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from my experience of
the linear algebra class.
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It's videotaped and
shown on OpenCourseWare.
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And it was my first
time to discover
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that millions of people
were learning, watching it.
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And it just seemed
possible to tackle
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the other major undergraduate
courses after calculus.
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The other lead in to
engineering and science.
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Differential equations with
the two sides of the formulas
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and the computations.
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CLEVE MOLER: This is not only
for students that are currently
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in school, after calculus.
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But it's also for
lifelong learners.
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People who want to come
back to this material,
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maybe after years out of school.
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We want to help people who
are using MATLAB to solve
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differential equations.
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To understand the
MATLAB ODE suite.
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To turn the black
boxes into grey boxes,
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where you have
some understanding
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of the mathematics
that underlies them.
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GILBERT STRANG: Really,
differential equations
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is the expression, the
mathematical expression
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of change.
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So engineering, finance,
economics, life sciences,
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medical sciences where you're
seeing things change over time.
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Those are modeled by
differential equations.
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So we want to understand
what does solutions
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look like for formulas?
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And what do they look
like for numbers?
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For actual quantities.
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CLEVE MOLER: Gil and
I are matrix guys.
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Our professional lives have
been involved with matrices.
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And MATLAB started life
as Matrix Laboratory.
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Here we are doing
differential equations.
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Why is that?
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That's because matrices are
fundamental in understanding
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modern differential equations.
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Systems of ordinary
differential equations
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are the key to understanding
modern applications
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of differential equations.
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GILBERT STRANG: We
hope you enjoy it.